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Finding the Fourth Proportional to 283,506.78, 390,701.05 and 202,794.18

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Solution

The fourth proportional to 283,506.78, 390,701.05 and 202,794.18 is: 279,470.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,506.78 : 390,701.05 = 202,794.18 : x
  2. Step 2: Convert to fraction form
    283,506.78/390,701.05 = 202,794.18/x
  3. Step 3: Cross multiply
    283,506.78x = 390,701.05 × 202,794.18
  4. Step 4: Simplify right side
    283,506.78x = 79,231,899,059.89
  5. Step 5: Solve for x
    x = 79,231,899,059.89/283,506.78
  6. Step 6: Final answer
    x = 279,470.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.